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Quasi-spherical coordinate systems for three-dimensional stress singularity eigenproblems

Finite Elements in Analysis and Design, 2005
To avoid the inherent singularity of conventional spherical coordinates at their poles, quasi-spherical coordinate systems are developed. Using these systems, a finite element procedure is developed to determine the displacement eigensolutions at three-dimensional vertices in which the displacement and stress are proportional to the (@l+1)th and @lth ...
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Fractional optimal control of distributed systems in spherical and cylindrical coordinates

Journal of Vibration and Control, 2011
This paper presents a general formulation and numerical scheme for the fractional optimal control problem (FOCP) of distributed systems in spherical and cylindrical coordinates. The fractional derivatives are expressed in the Caputo-Sense. The performance index of FOCP is considered as a function of both the state and the control variables and the ...
M Mehedi Hasan   +2 more
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Predicting Physical Activities from Accelerometer Readings in Spherical Coordinate System

2017
Recent advances in mobile computing devices enable smartphone an ability to sense and collect various possibly useful data from a wide range of its sensors. Combining these data with current data mining and machine learning techniques yields interesting applications which were not conceivable in the past.
Kittikawin Lehsan, Jakramate Bootkrajang
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Simulating Binary Inspirals in a Corotating Spherical Coordinate System

2007
The gravitational waves produced by the inspiral and merger of two black holes are expected to be the first detected by the newly constructed gravitational wave observatories. Accurate theoretical models that describe the generation and shape of these gravitational waves need to be constructed.
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Using satellite technology (global positioning system) to teach the spherical polar coordinate system

European Journal of Physics, 2002
Students discover the equivalence between plausible geographic variables (co-latitude and longitude) of the Earth and less-familiar geometric variables (polar and azimuthal angles) of spherical polar coordinates by collecting and analysing positional data recorded during field exercises with a handheld global positioning system (GPS) receiver.
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Spherical coordinate automatic measurement (SCAM) system for robots' end-point sensing

Precision Engineering, 1989
Abstract To assess robots' end-point positioning accuracy and repeatability, a Spherical Coordinate Automatic Measurement (SCAM) system that is currently under development at the National Institute of Standards and Technology (NIST) formerly the National Bureau of Standards—is presented.
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Hydroelasticity problems for viscous compressible liquids in a spherical coordinate system

Soviet Applied Mechanics, 1980
UDC 539.3 There are few papers devoted to the interaction between shells and viscous liquids among the many publications concerned with problems in the dynamics of liquid-filled shells. For the most part, axisymmetric problems for spherical and cylindrical shells which interact with an incompressible viscous liquid are investigated in these papers ...
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Cylindrical and spherical coordinate systems

2020
Lallit Anand, Sanjay Govindjee
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Single-joint spherical pendulum mathematical modeling in spherical coordinate system

Politechnical student journal, 2019
V.V. Zaika, A.L. Maslennikov
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A Spherical Rotation Coordinate System for the Description of Three-Dimensional Joint Rotations

Annals of Biomedical Engineering, 2000
Three-dimensional joint rotations in human movement analysis have been mainly described by Euler/Cardan angles. Due to sequence dependence, each combination of three Euler/Cardan angles defines a single pattern of joint rotation. When the rotation pattern is unknown, it needs to be considered using a particular sequence of Euler/Cardan angles to ...
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